the answer is 4
It is any fraction of the form (48*x)/(64*x) where x is a non-zero integer or 1/x is an integer common factor of 48 and 64.
It is any fraction of the form x/(7*x) where x is a non-zero integer.
The word is apteryx. The missing letters are A-T-R-X.
It is any number of the form (11*x)/(8*x) where x is a non-zero integer.
Since no letters are repeated in the word prime, you can arrange the letters in the word prime 5! ways, or 120 ways.
Lox?
1 is an integer and not a fraction. However, it can be expressed in rational form as 1/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer. This will be of the form x/x.
It is any number of the form (5*x)/(8*x) where x is a non-zero integer.
x + 1 would be a consecutive integer where x is an integer.
All integers are rational, because they can be written in the form x / 1, where "x" is the integer.
The word is "sexes."
The number of permutations of the letters of the word depends upon the number of letters in the word and the number of repeated letters. Since there are nine letters, if there were no repetitions, the number of ways to rearrange these letters would be 9! or 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1. But don't do the multiplication just yet. To account for the repeated letters, we need to divide by 3! (for the 3 Ns) by 2! (for the 2Es) and by another 2! (for the 2 Ss). This gives a final answer of 15,120 permutations of these letters.